Robust design of adaptive neural controllers for unknown nonlinear systems

Abstract

In this paper, we extend our previous research results from the stabilization of dynamic neural networks to the stabilization of unknown nonlinear systems, and present an approach of H∞ control for nonlinear systems via dynamic neural networks. The proposed H∞ controller is intended to attenuate the adverse impact of modeling error, considered as a disturbance, to a prescribed level with stability margins. A numerical example demonstrates the performance of stabilizing control on an unstable unknown nonlinear system.